"Created to be His Help Meet" by Debi Pearl is an exceptional book on this topic. It is intended for married women, but I read it and it helped me understand that I was to be the best husband I could be and will be held accountable for my actions.
Unless he is asking her to do something sinful she should be obedient to him and support his decisions (submitting to his headship). That does not mean that she cannot strongly express her opinions if she thinks he is making a mistake, it just means that sometimes she may have to let him make a mistake so he can learn from it.
When you come across a family where the wife is submissive (she understands the power of her position as his wife) you will likely also find submissive children. The children will observe the way their mother acts toward their father and typically model her behavior. This is very beneficial to the mother as well since they will also typically be submissive to her seeing that their father respects their mother.
Titus 2:3-5 The aged women likewise, that they be in behaviour as becometh holiness, not false accusers, not given to much wine, teachers of good things; That they may teach the young women to be sober, to love their husbands, to love their children, To be discreet, chaste, keepers at home, good, obedient to their own husbands, that the word of God be not blasphemed.
I doubt that most women would want to intentionally blaspheme the Word of God.